6th curriculum maps

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Curriculum Map
Year 2010-2011
A. Doody, D. Hill, MB Morgan
TMS Grade 6


September


Unit 1
Day 1
 Day 2
 Day 3
 Day 4
Read and write whole numbers to trillions

Round whole numbers to trillions

Lesson 2-1/2-2
 Compare and order whole numbers to trillions

Lesson 2-3
 Write numbers in expanded, standard and exponential form

Identify base and exponent of a number

Lesson 2-4
 Simplify problems mentally using patterns and compensation

Lesson 2-5
6.N.1
 5.N.2
 6.N.23
6.N.24
 6.N.27

Day 5
 Day 6
 Day 7
 Day 8
Simplify problems mentally using distributive property and compatible numbers

Lesson 2-5
 Estimate sums and differences using rounding and clustering

Lesson 2-6
 Estimate products and quotients using rounding and compatible numbers

Lesson 2-7
 Simplify problems using order of operations
(PEMDAS)

Lesson 2-8
6.N.27
 6.N.27
6.M.8
 6.N.27
6.M.8
 6.N.22
6.N.25

Day 9
 Day 10
 Day 11
 Day 12
Simplify problems using order of operations
(PEMDAS)

PEMDAS PLAY
White board practice
To identify and continue numerical patterns

Lesson 2-9
 Unit 1 Review
 Unit 1 Assessment
6.N.22
6.N.25
 5.A.7

October

Unit 2

Day 13
 Day 14
 Day 15
 Day 16
Define and identify variables, constants, and algebraic expressions

Use PEMDAS to evaluate expressions

Lesson 2-10
 Translate verbal expressions into algebraic expressions

Translate two-step verbal expressions into algebraic expressions

Lesson 2-11
 Identify and define inverse operations

Solve/check simple addition and subtraction one-step equations using basic whole-number facts using inverse operations

Lesson 2-13
Teacher created materials
 Solve/check simple multiplication and division one-step equations using inverse operations

Lesson 2-13
Teacher created materials
5.A.1/5.A.3
6.N.22/6.A.22
 5.A.2
6.A.1
 5.A.4/5.A.5
6.N.4
 5.A.4/5.A.5

Day 17
 Day 18
 Day 19
 Day 20
Solve/check simple one-step equations involving all four operations

Teacher created material
 Define and identify properties associated with algebra: commutative, associative, distributive, identity, zero

Teacher created material
 Define and identify properties associated with algebra: commutative, associative, distributive, identity, zero

Teacher created material
 Unit 2 Review
5.A.4
5.A.5
6.N.2/6.N.3
6.N.5
 6.N.2/6.N.3
6.N.5

Day 21


Unit 2 Assessment








Unit 3

Day 22
 Day 23
Day 24
 Day 25
Read and write decimals in word form and standard

Lesson 3-1
 Round decimals to thousandths place

Compare and order decimals

Lessons 3-1/3-2
 Estimate sums and differences of decimals

Identify and apply the rules for adding and subtracting decimals

Lesson 3-6
 Solve and check 1 step addition/subtraction decimal equations using inverse operations

Lesson 3-7
5.N.8
5.N.10
5.N.24
5.N.23
6.M.8
 5.A.5
5.N.23

Day 26
 Day 27
 Day 28
 Day 29
Estimate products of decimal numbers

Multiply whole numbers using traditional methods

Multiply decimals by decimals and whole numbers

Lessons 3-8/3-9
 Divide whole numbers using traditional long division

Estimate quotients of decimal numbers

Divide decimals numbers by whole numbers

Lesson 3-10
 Divide decimal numbers by decimal numbers using traditional long division

Lesson 3-11
 Multiply and divide decimals

Teacher Created Materials
5.N.23
6.M.8
 5.N.23
6.M.8
 5.N.23
5.N.23

Day 30
 Day 31
Day 32
 Day 33
Solve and check 1 step decimal equations using inverse operation for multiplication

Lesson 3-12
 Solve and check 1 step decimal equations using inverse operation for division

Lesson 3-12
 Unit 3 Review
 Unit 3 Assessment
5.N.23
5.N.23




November

Unit 4
Day 34
 Day 35
 Day 36
 Day 37
Identify divisibility rules for 2,3,5,6,9,10

Lesson 5-1
 Identify divisibility rules for 4 and 8

Review divisibility rules for 2,3,5,6,9,10

Teacher created materials
 Apply divisibility rules for determining prime and composite numbers

Use factor trees to determine prime factorization

Lesson 5-2
 Determine the GCF of two numbers using T-charts

Lesson5-5


5.N.12
5.N.14
5.N.15

Day 38
 Day 39
 Day 40
 Day 41
Determine the GCF of two numbers using the Birthday Cake method

Lesson5-5
 Represent values between whole numbers as fractions

Find equivalent fractions

Write fractions in lowest terms

Lessons 5-4/5-5
 Convert between improper fractions and mixed numbers

Lesson 5-6
 Convert between fractions and decimals

Represent fractions as terminating or repeating decimals

Lesson 5-7
5.N.14
5.N.15
 5.N.4
5.N.19
5.N.20
6.N.20
6.N.21

Day 42
 Day 43
 Day 44
 Day 45
Compare and order fractions using common denominators, converting to decimal numbers, and cross multiplication

Lesson 5-8
 Determine lowest common multiple using listing and birthday cake methods

Lesson 5-3
 Unit 4 Review
 Unit 4 Assessment
6.N.21
 5.N.13




December

Unit 5
Day 46
 Day 47
 Day 48
 Day 49
Add and subtract fractions with like and unlike denominators

Lessons 6-1/6-2
 Estimate sums and differences of mixed numbers

Add mixed numbers to include regrouping

Lesson 6-4/6-5
 Subtract mixed numbers to include regrouping

Lesson 6-6
 Review adding and subtracting fractions, whole numbers, and mixed numbers

Review and Practice pgs.350 & 352
6.N.16
 6.N.18
6.M.8
 6.N.18
 6.N.16
6.N.18

Day 50
 Day 51
 Day 52
 Day 53
Multiplying fractions and mixed numbers by fractions, mixed numbers, and whole numbers

Lessons 7-2/7-3
 Identify the multiplicative inverse (reciprocal) of a number

Dividing fractions and mixed numbers by fractions, mixed numbers, and whole numbers

Lessons 7-4/7-5
Review multiplying and dividing fractions, whole numbers and mixed numbers

Stop and Practice pg. 384
 Unit 5 Review

Review adding, subtracting, multiplying, and dividing fractions, whole numbers, and mixed numbers

Teacher created materials
6.N.17
6.N.18
 6.N.17
6.N.18
6.N.19
 6.N.17
6.N.18
6.N.19
 6.N.16 / 6.N.17
6.N.18 / 6.N.19

Day 54


Unit 5 Assessment








Unit 6
Day 55
 Day 56
 Day 57
 Day 58
Understand the concept of ratios, rates, and unit rates

Distinguish between ratio and rate

Lessons 10-1/10-2/ 10-3
 Express equivalent ratios as a proportion

Solve proportions using equivalent fractions and unit rates

Lessons 10-4/10-6
 Express equivalent ratios using

Solve proportions using cross products (using algebraic steps)

Lesson 10-5
 Review ratios, rates, unit rates, and proportions

Stop and Practice pg. 538
6.N.6
6.N.8
 6.N.7
6.N.9
6.A.5
 6.N.10/6.A.5
 6.N.6/6.N.7
6.N.8/6.N.9
6.N.10/6.A.5

Day 59
 Day 60
 Day 61
 Day 62
Use proportions to find missing lengths of similar figures

Lesson 10-7
 Express a number as a percent

Estimating percents

Convert fractions, decimals, and percents

Lessons 10-8/10-9/ 10-10
 Find percent of a number

Lesson 10-11
 Unit 6 Review
6.G.1/6.A.5
 6.N.11/6.N.21
6.N.26/6.M.8
 6.N.12
6.N.21

Day 63


Unit 6 Assessment








January

Unit 7
Day 64
 Day 65
 Day 66
 Day 67
Identify customary units of measurement

Identify customary units of capacity (cups, pints, quarts, and gallons)

Lesson 4-3 and teacher created material
 Identify equivalent customary units of measurement with an emphasis on capacity

Lesson 4-3 and teacher created material
 Identify metric units of measurement

Lesson 4-2 and teacher created material
 Identify equivalent metric units of measurement with an emphasis on capacity
(King Hector)

Lesson 4-2 and teacher created material
6.M.2
6.M.9
 6.M.3
6.M.6
 6.M.4
6.M.9
 6.M.5
6.M.6

Day 68
 Day 69
 Day 70
 Day 71
Unit 7 Review
 Unit 7 Assessment
 New York State Test Prep Activities
 New York State Test Prep Activities





Day 72


New York State Test Prep Activities







Unit 8

Day 73
 Day 74
 Day 75
 Day 76
Read and interpret data from different types of graphs

Identify common ways a graph can suggest misleading relationships

Lessons 1-1/1-2
 Read and interpret data from a scatterplot

Determine if a scatterplot suggest a trend

Lesson 1-3
 Organize data using tallies, frequency charts, and line plots

Organize large sets of data in stem and leaf diagrams

Lesson 1-4/1-6
 Review organizing and interpreting data

Review and Practice
pg 34
6.S.4
6.S.7
6.S.8
 6.S.7
6.S.8
 6.S.2
6.S.7
 6.S.2/6.S.4
6.S.7/6.S.8



Day 77
 Day 78
 Day 79
Determine the mean, median, mode, and range of sets of data

Determine the effects of an outlier on a set of data

Lessons 1-7/1-8/1-9
 Unit 8 Review
 Unit 8 Assessment
6.S.5
6.S.6



Unit 9

Day 80
 Day 81
 Day 82
 Day 83
Find missing sides of irregular shapes

Calculate perimeter of polygons

Calculate area of square, rectangle, parallelogram

Lessons 4-1/4-4/4-5
 Calculate area of triangles and trapezoids

Lesson 4-6 and teacher created material
 Review calculating perimeter and area of triangles and quadrilaterals

Teacher created material
Tin Man
 Identify the parts of a circle (radius, diameter, chord, and central angle)

Determine the relationship between radius and diameter

Determine the relationship between circumference, diameter, and pi

Lesson 4-7
6.G.2/6.G.3
6.A.6/5.G.1
 6.G.3
6.A.6
 6.G.2/6.G.3
6.A.6/5.G.1
 6.G.5/6.G.6
6.G.9/6.M.7









February


Day 84
 Day 85
 Day 86
 Day 87
Calculate circumference and area of a circle using the appropriate formula

Lesson 4-7/4-8
 Review calculating circumference and area of a circle

Teacher created material
Marla Mouse
 Calculate the area of irregular figures

Lesson 4-9
 Calculate the volume of rectangular prisms and cylinders

Lesson 11-6/11-7
6.G.7
6.A.6
 6.G.7
6.A.6
 6.G.3/6.G.7
6.G.8/6.A.6
 6.G.4
6.A.6
6.M.1

Day 88
 Day 89

Unit 9 Review
 Unit 9 Assessment






Unit 10

Day 90
 Day 91
 Day 92
 Day 93
Identify, order, and compare integers using a number line

Define and determine the absolute value and opposites of rational numbers

Lesson 9-1 and teacher created material
 Identify and plot points on the coordinate plane (1st quadrant)

Identify and plot points in all four quadrants of the coordinate plane

Lesson 9-5
Teacher created material
 Calculate the perimeter and area of basic polygons drawn on the coordinate plane

Teacher created material
 Review ordering and comparing integers

Review absolute value

Review plotting points on the coordinate plane

Review calculating perimeter and area of shapes drawn on the coordinate plane

Teacher created material
6.N.13
6.N.14
6.N.15
 6.G.10
5.G.12
 6.G.11
5.G.13
5.G.14
6.N.13/6.N.14
6.N.15/6.G.10/6.G.11
5.G.12/5.G.13/5.G.14

March (move to May after assessment)


Day 94
 Day 95
 Day 96
 Day 97
Introduce addition of integers

Discovery Activity (Computer Lab)

Lesson 9-2
 Add integers using the number line

Introduce rules for addition of integers

Lesson 9-2
 Add integers using larger numbers

Lesson 9-2
 Add integers with more than two addends (combine like terms)

Teacher created material
7.N.12
7.N.13
 7.N.12
7.N.13
 7.N.12
7.N.13
 7.N.12
7.N.13

Day 98
 Day 99
 Day 100
 Day 101
Review integers

Review adding integers

Teacher created material
 Subtract integers

Determine the relationship between double negatives and positive numbers
(not negative)

Lesson 9-3
Teacher created material
 Subtract integers using larger numbers

Lesson 9-3
Teacher created material
 Subtract three or more integers

Teacher created material
6.N.13/6.N.14/6.N.15
7.N.12/7.N.13
 7.N.12/7.N.13
 7.N.12/7.N.13
 7.N.12/7.N.13

Day 102
 Day 103

Review subtracting integers

Teacher created material
 Unit 10 Assessment

7.N.12/7.N.13











April

Unit 11
Day 104
 Day 105
 Day 106
Introduce solving 2-step algebraic equations.

Teacher created material
 Solving 1 and 2-step algebraic equations.

Teacher created material.
 Unit 11 Assessment
6.A.3/6.A.4
5.A.5/6.A.4



Unit 12

Day 107
 Day 108
 Day 109
 Day 110
Identify, describe, and draw different kinds of lines. Describe the relationship between two lines.

Lesson 8-1
 Identify, name, and describe angles.

Lesson 8-2
 Use a protractor to measure angles.

Lesson 8-2
 Unit 12 Part 1Review

5.G.6




Day 111
 Day 112
 Day 113
 Day 114
Unit 12 Part 1 Assessment
 Classify triangles according to their angles.

Lesson 8-4
 Classify triangles according to their sides.

Lesson 8-5
 Review classifying triangles according to their sides and angles.

Classify polygons.

Lesson 8-6

5.G.6
5.G.6
5.G.6

May


Day 115
 Day 116
 Day 117
 Day 118
Classify quadrilaterals according to their attributes.

Lesson 8-7
 Unit 12 Part 2 Review
 Unit 12 Part 2 Assessment
 Unit 12 Review






Day 119


Unit 12 Assessment







Unit 13

Day 120
 Day 121
 Day 122
 Day 123
Apply ratio and proportion to scale drawings.

Teacher created material.
 Apply ratio and proportion to scale drawings.

Teacher created material.
 Apply ratio and proportion to scale drawings.

Teacher created material.
 Review estimating and calculating with decimals. Calculating percents.

Teacher created material.
6.N.7/6.A.5
 6.N.7/6.A.5
6.N.7/6.A.5
5.N.26/6.N.12/6.N.26


Day 124
 Day 125
 Day 126
Review estimating and calculating with decimals. Calculating percents.

Teacher created material.
 Apply math concepts to the real world.

Teacher created material.
 Unit 13 Review

Buckle Down Workbook
5.N.26/6.N.12/6.N.26



Unit 14 (move to March to replace Integer unit)

Day 127
 Day 128
 Day 129
 Day 130
List the possible outcomes for a single-event experiment

Record experiment results using fractions/ratios

Lesson 12-1 and teacher created material
 Create a sample space and determine the probability of a single event, given a simple experiment (ex. rolling a number cube)

Lesson 12-2 and teacher created material
 Calculate the probability of an event using geometric models.

Lesson 12-3
 Calculate the probability of a compound event using tree diagrams.

Lesson 12-4
5.S.5/5.S.6
5.S.7/6.S.1/6.S.8
6.S.8
 6.S.9




Day 131
 Day 132
 Day 133
 Day 134
Calculate the probability of a compound event using the counting principle.

Lesson 12-5
 Determine the fairness of a game.

Lesson 12-6
 Unit 13 Review
 Unit 14 Assessment
6.S.10/6.S.11





June


Review all topics from September to May to prepare for the final exam.

Materials: Teacher Created Materials, Scott Foresman Addison-Wesley Textbook & McDougall Littell Textbook/Resources

Assessments: Final Exam, Daily Review Assignments.